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Finding the Fourth Proportional to 7,644.65, 11,464.58 and 2,715.71

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Solution

The fourth proportional to 7,644.65, 11,464.58 and 2,715.71 is: 4,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.65 : 11,464.58 = 2,715.71 : x
  2. Step 2: Convert to fraction form
    7,644.65/11,464.58 = 2,715.71/x
  3. Step 3: Cross multiply
    7,644.65x = 11,464.58 × 2,715.71
  4. Step 4: Simplify right side
    7,644.65x = 31,134,424.02
  5. Step 5: Solve for x
    x = 31,134,424.02/7,644.65
  6. Step 6: Final answer
    x = 4,072.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.